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Finding the Third Proportional to 183,313 and 276,813

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Solution

The third proportional to 183,313 and 276,813 is: 418,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,313 : 276,813 = 276,813 : x
  2. Step 2: Convert to fraction form
    183,313/276,813 = 276,813/x
  3. Step 3: Cross multiply
    183,313x = 276,813 × 276,813
  4. Step 4: Simplify right side
    183,313x = 76,625,436,969
  5. Step 5: Solve for x
    x = 76,625,436,969/183,313
  6. Step 6: Final answer
    x = 418,003.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.